Film condensation on vertical tubes

Input(s)

k: Thermal Conductivity (g m/s s s K)

$\rho$: Density $(\mathrm{g} / \mathrm{cc})$

g: Gravitational Accelaration (m/s s)

$\mu$: Viscosity (cP)

$\tau$: Rate of Condensate Flow per Unit Width to Bottom $\left(\mathrm{m}^{2} / \mathrm{s}\right)$

$\boldsymbol{T d}$: Dew Point Temperature (K)

To: Temperature Outlet $(\mathrm{K})$

L: Length $(\mathrm{m})$

$\boldsymbol{H}_{\text {vap }}$: Heat of Vaporization (N)

Output(s)

$\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{l}}$: Laminar Coefficient of Heat Transfer $(\mathrm{W} / \mathrm{m} \mathrm{K})$

$\boldsymbol{h}_{\boldsymbol{m} \boldsymbol{t}}$: Turbulent Coefficent of Heat Transfer (W/m K)

Formula(s)

$$ \begin{gathered} \mathrm{h}_{\mathrm{ml}}=\frac{4}{3} *\left(\left(\frac{\left(\mathrm{k}^{3}\right) *\left(\rho^{2}\right) * \mathrm{~g}}{3 * \mu * \tau}\right)^{0.334}\right) \\ \mathrm{h}_{\mathrm{mt}}=0.003 *\left(\left(\frac{\left(\mathrm{k}^{3}\right) *\left(\rho^{2}\right) * \mathrm{~g} *(\mathrm{Td}-\mathrm{To}) * \mathrm{~L}}{\left(\mu^{3}\right) * \mathrm{H}_{\mathrm{vap}}}\right)^{0.5}\right) \end{gathered} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 14, Page: 447.